<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical stabilities of a new hexic functional equation in di erent fuzzy spaces like fuzzy Banach space, Felbin’s fuzzy Banach space and intuitionistic fuzzy Banach space are presented, concerning the Ulam’s theory of stabilities of equations. To validate the stability results, experimental results are presented. Also, a comparative study of the results obtained in this investigation are provided.</p>
</abstract>

The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical stabilities of a new hexic functional equation in di erent fuzzy spaces like fuzzy Banach space, Felbin’s fuzzy Banach space and intuitionistic fuzzy Banach space are presented, concerning the Ulam’s theory of stabilities of equations. To validate the stability results, experimental results are presented. Also, a comparative study of the results obtained in this investigation are provided.

Fuzzy stabilities of a new hexic functional equation in various spaces

University of Technology and Applied Sciences

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Fuzzy stabilities of a new hexic functional equation in various spaces"}

The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical...

Fuzzy stabilities of a new hexic functional equation in various spaces

Published Online: Oct 08, 2022

Page range: 143 - 171

Received: Oct 11, 2021

Accepted: Jan 31, 2022

DOI: https://doi.org/10.2478/auom-2022-0038

Keywords
functional equation, hexic functional equation, Ulam stability, fuzzy Banach space, Felbin’s Banach space, intuitionistic fuzzy Banach space

© 2022 Hemen Dutta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fuzzy stabilities of a new hexic functional equation in various spaces

Published Online: Oct 08, 2022

Page range: 143 - 171

Received: Oct 11, 2021

Accepted: Jan 31, 2022

DOI: https://doi.org/10.2478/auom-2022-0038

Keywordsfunctional equation, hexic functional equation, Ulam stability, fuzzy Banach space, Felbin’s Banach space, intuitionistic fuzzy Banach space

© 2022 Hemen Dutta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
functional equation, hexic functional equation, Ulam stability, fuzzy Banach space, Felbin’s Banach space, intuitionistic fuzzy Banach space